On the symplectic phase space of KdV
| dc.creator | Kappeler, T. | |
| dc.creator | Serier, F. | |
| dc.creator | Topalov, P. | |
| dc.date | 2007-10-06 | |
| dc.date.accessioned | 2026-07-07T08:34:38Z | |
| dc.date.available | 2026-07-07T08:34:38Z | |
| dc.description | We prove that the Birkhoff map $\Om$ for KdV constructed on $H^{-1}_0(\T)$ can be interpolated between $H^{-1}_0(\T)$ and $L^2_0(\T)$. In particular, the symplectic phase space $H^{1/2}_0(\T)$ can be described in terms of Birkhoff coordinates. As an application, we characterize the regularity of a potential $q\in H^{-1}(\T)$ in terms of the decay of the gap lengths of the periodic spectrum of Hill's operator on the interval $[0,2]$. | |
| dc.identifier | https://arxiv.org/abs/0710.1381 | |
| dc.identifier | http://arxiv.org/abs/0710.1381 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139508 | |
| dc.subject | Functional Analysis | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35P20; 35P25 | |
| dc.title | On the symplectic phase space of KdV | |
| dc.type | text |